Speaker：Shanqi Pang (Henan Normal University)

Time：2023-10-27, 9:00

Location：Conference Room 686 at the 6th floor of Shuli Building at Haiyun Campus

Abstract:

Orthogonal arrays have always played a prominent role in statistics and have become a backbone of multi-factor experimental design. By utilizing the orthogonal partition of space and orthogonal arrays, methods for constructing high-strength orthogonal arrays are proposed. These methods facilitate the construction of larger orthogonal arrays from smaller arrays, and many infinite families of new symmetric and asymmetric orthogonal arrays are obtained. The constructed orthogonal arrays have high flexibility and many desired statistical properties. On the application of orthogonal arrays, the first work is to use the construction method of high-strength orthogonal arrays to have solved the open problems of the existence and construction of 2- and 3- uniform quantum entangled states. The second work is to have improved the efficiency of fly ash sorting, with direct economic benefits of 30 million Chinese yuans and indirect benefit of more than 100 million of Chinese yuans.